Riemann Surfaces and Algebraic Curves : A First Course in Hurwitz Theory epub
Riemann Surfaces and Algebraic Curves : A First Course in Hurwitz Theory epub

Riemann Surfaces and Algebraic Curves : A First Course in Hurwitz Theory. Miles, Eric

Riemann Surfaces and Algebraic Curves : A First Course in Hurwitz Theory
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Author: Miles, Eric
Number of Pages: 200 pages
Published Date: 19 Sep 2016
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
Format: Pdf
ISBN: 9781107149243
File size: 21 Mb
Download Link: riemann surfaces and algebraic curves a first course in hurwitz theory
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Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes.

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